\tolerance=10000
%\documentstyle[aps,preprint]{revtex}
\input epsf
\input psfig.sty
\documentstyle[12pt]{article}
%\documentstyle[portrait,semrot,notes,colordvi]{seminar}
\topmargin=-3cm
\textheight=26cm
\oddsidemargin=-.5cm
\textwidth=16.5cm
\newcommand{\be}{\begin{equation}}
\newcommand{\ee}{\end{equation}}
\newcommand{\bea}{\begin{eqnarray}}
\newcommand{\eea}{\end{eqnarray}}
\begin{document}

\centerline{\Large \bf Interdisciplinary Nonlinear Dynamics}
\bigskip
\centerline{\large  ESAM 438}
\medskip
\centerline{\large \bf Fall 2000}
\bigskip
\centerline{Hermann Riecke}
\vfill
This class gives an introduction to
nonlinear dynamical systems as they arise in a wide range of areas of 
science and engineering. While the main goal of the class is to present the 
concepts and techniques needed for dealing
with these systems it will do so from an applied perspective making 
contact with physical systems wherever possible. The course will follow
the textbook  {\it Nonlinear Dynamics and Chaos: With Applications to 
Physics, Biology, Chemistry and Engineering} by S. Strogatz.

The Fall Quarter course will be followed by a projects-based course
in Spring Quarter on ?????????????, which will be directed
by M. Johnson (BME, 467-7143) and S. Lichter (ME, 467-1885).
 
\begin{figure}[h]
\centerline{\epsfxsize=4.8cm \epsfbox{logmap.1.ps}
\hspace*{40pt} \epsfxsize=6cm \epsfbox{sp9.ps}
}
\caption{a) Period-doubling cascade and chaos in logistic map.
b) Snapshot of spiral-defect chaos in fluid convection 
(courtesy E. Bodenschatz).} 
\end{figure}

\noindent
Key topics to be discussed include  
\begin{itemize}
\item Phase space representation of dynamical systems, 
flows, fixed points, orbits.
\item Bifurcations: qualitative change in behavior.
\item Nonlinear oscillators  
\item Weakly nonlinear theory, center manifold reduction, multiple scales.
\item Pattern formation
\item Chaos, Lorenz system, strange attractors, logistic map, renormalization.
\end{itemize}
 
\vfill
\centerline{
Location and Time: TuTh 10:30-12:00  TCH M152
}

\vfill
\noindent
For more information call, send e-mail, or stop by:
491-8316; h-riecke@nwu.edu; M458.
\vfill

\noindent
This course is part of the new IGERT program {\it Complex Systems in Science and
Engineering} \\
\centerline{\tt http://www.esam.nwu.edu/IGERT}

\end{document}
